Free field realization of current superalgebra $gl(m|n)_k$

Details Free field realization of current superalgebra $gl(m|n)_k$ Free field realization of current superalgebra $gl(m|n)_k$

2008-06-02

arxiv.org/abs/0806.0190v1

J.Math.Phys.48:053514,2007

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 15 pages

Scientific paper

10.1063/1.2739306

We construct the free field representation of the affine currents,
energy-momentum tensor and screening currents of the first kind of the current
superalgebra $gl(m|n)_k$ uniformly for $m=n$ and $m\neq n$. The energy-momentum
tensor is given by a linear combination of two Sugawara tensors associated with
the two independent quadratic Casimir elements of $gl(m|n)$.

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